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Finding the Fourth Proportional to 300,464.58, 414,640.34 and 164,497.37

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Solution

The fourth proportional to 300,464.58, 414,640.34 and 164,497.37 is: 227,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,464.58 : 414,640.34 = 164,497.37 : x
  2. Step 2: Convert to fraction form
    300,464.58/414,640.34 = 164,497.37/x
  3. Step 3: Cross multiply
    300,464.58x = 414,640.34 × 164,497.37
  4. Step 4: Simplify right side
    300,464.58x = 68,207,245,425.91
  5. Step 5: Solve for x
    x = 68,207,245,425.91/300,464.58
  6. Step 6: Final answer
    x = 227,005.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.